The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X
 0  X 2X  0 X+6 2X  3 X+6 2X+3  3 X+3 2X+3  3 X+3 2X  0  X 2X+3  6  6 X+6 X+3 2X+6 2X+6  6  X 2X+6  0 X+6 2X  0 X+6 2X  X  3 X+6 X+3 2X 2X+3  3 X+3 2X+3  3  0 X+6 X+3 2X 2X+3  6  6  6  X  X  X 2X+6 2X+6  0 X+6 X+3
 0  0  3  3  6  6  6  3  0  3  0  3  0  3  0  6  6  6  0  3  0  6  3  6  6  3  0  0  6  0  6  3  0  6  3  3  0  3  6  6  3  3  0  3  0  6  6  0  0  3  6  6  3  0  0  3  3  6  0

generates a code of length 59 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+90x^115+144x^116+8x^117+90x^118+288x^119+12x^120+90x^121+4x^123+2x^159

The gray image is a code over GF(3) with n=531, k=6 and d=345.
This code was found by Heurico 1.16 in 0.0828 seconds.